**Congruence
of Triangles Class 7 Worksheets**

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**Congruence
of Triangles Class 7 Worksheet 1**

**1. **In each of the following figures, state
whether each of the pair of triangles are congruent or not. If yes, write the
condition it satisfies.

**2. **Prove that Î”ABD and Î”BCD are congruent.

**3. **Each of the following pair of triangles are
congruent. Write the measurements of the indicated sides and angles.

<BAD, <ACD, AC, BD <ABD, <ACD, <CPD, BD

**4.
**Fill in the blanks.

a. Two triangles are congruent, if two
angles and one side of one triangle are equal to two angles and the
corresponding side of the other triangle and the condition used for congruency
is written as ___________.

b. In triangles ABC and PQR, AB = PQ,
AC = QR and <A = <P, then two triangles are ___________.

c. The areas of
congruent triangles are ___________

**5.
**Choose the correct option.

a.
Two triangles having equal sides and equal angles are said to be

i.
congruent ii.
same iii. unequal iv. none of these

b.
SAS for two triangles is a condition for

i.
congruency ii.
shapes iii. same iv. none of these

c.
The symbol used for congruency is

i.
≅ ii. ~ iii. = iv. >

d. In two right-angled triangles, if
the hypotenuse and a side of one triangle equals the hypotenuse and the side of
the other triangle respectively, then they are congruent by the condition

i.
SAS ii. SSS iii. AAS iv. RHS

**Congruence
of Triangles Class 7 Worksheet 2**

**1. **Match the following with the correct
conditions of congruency:

**2. **Prove that the following triangles are
congruent.

**3. **Prove that the following pairs of triangles
are congruent and then write the measurement of the indicated sides and angles.

**4. **Draw each of the following figure and state whether the given pair
of triangles are congruent or not. If yes, write the congruence condition they
are satisfying.

a. Î”ABD and Î”ADC b. Î”ADC and Î”ABC c.
Î”ABC and Î”BCD

**5.
**Choose the correct option.

a.
Two equilateral triangles with equal sides are

i.
congruent ii. not congruent iii.
unequal iv. none of these

b.
In Î”ABC and Î”DEF, AB = EF, BC = DF and <B = <F, the two triangles are

i. congruent ii. not congruent iii. similar iv. none of these

c.
If three angles of a triangle are equal to three angles of another triangle,
then they are

i.
congruent by AAA ii. not
congruent iii. congruent SAS iv. none of these

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